Looking at learning activities. Aims of the session This session is intended to help us to: Explore...
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Transcript of Looking at learning activities. Aims of the session This session is intended to help us to: Explore...
![Page 1: Looking at learning activities. Aims of the session This session is intended to help us to: Explore different types of mathematical activity: –Classifying.](https://reader036.fdocuments.in/reader036/viewer/2022071705/56649ccd5503460f9499861f/html5/thumbnails/1.jpg)
Looking at learning activities
![Page 2: Looking at learning activities. Aims of the session This session is intended to help us to: Explore different types of mathematical activity: –Classifying.](https://reader036.fdocuments.in/reader036/viewer/2022071705/56649ccd5503460f9499861f/html5/thumbnails/2.jpg)
Aims of the session
This session is intended to help us to:
• Explore different types of mathematical activity:– Classifying mathematical objects.– Interpreting multiple representations.– Evaluating mathematical statements.– Creating problems.– Analysing reasoning and solutions.
![Page 3: Looking at learning activities. Aims of the session This session is intended to help us to: Explore different types of mathematical activity: –Classifying.](https://reader036.fdocuments.in/reader036/viewer/2022071705/56649ccd5503460f9499861f/html5/thumbnails/3.jpg)
1. Classifying mathematical objects
• Learners examine and sort mathematical objects according to their different characteristics.
• They create and use categories to build definitions
• They learn to discriminate carefully and to recognise the properties of objects.
• They develop mathematical language.
![Page 4: Looking at learning activities. Aims of the session This session is intended to help us to: Explore different types of mathematical activity: –Classifying.](https://reader036.fdocuments.in/reader036/viewer/2022071705/56649ccd5503460f9499861f/html5/thumbnails/4.jpg)
Examples of classifying activities
• Find the odd one out tables activity (Maths Out Loud 4 – 13)
• Sorting shapes (Maths Out Loud 4 – 27)
![Page 5: Looking at learning activities. Aims of the session This session is intended to help us to: Explore different types of mathematical activity: –Classifying.](https://reader036.fdocuments.in/reader036/viewer/2022071705/56649ccd5503460f9499861f/html5/thumbnails/5.jpg)
2. Interpreting multiple representations
• Learners match cards showing different representations of the same mathematical idea.
• They draw links between different representations.
• They develop new mental images for concepts.
![Page 6: Looking at learning activities. Aims of the session This session is intended to help us to: Explore different types of mathematical activity: –Classifying.](https://reader036.fdocuments.in/reader036/viewer/2022071705/56649ccd5503460f9499861f/html5/thumbnails/6.jpg)
Examples of interpreting multiple representations
• Different representations of multiplication
• Suggestions– Definitions and images of shapes– Matching sets of sums– Showing 100
![Page 7: Looking at learning activities. Aims of the session This session is intended to help us to: Explore different types of mathematical activity: –Classifying.](https://reader036.fdocuments.in/reader036/viewer/2022071705/56649ccd5503460f9499861f/html5/thumbnails/7.jpg)
3. Evaluating mathematical statements
• Learners decide whether given statements are true or false (or possibly sometimes true.
• They are encouraged to develop mathematical arguments and justifications.
• They are encouraged to develop examples and counterexamples to defend their reasoning.
![Page 8: Looking at learning activities. Aims of the session This session is intended to help us to: Explore different types of mathematical activity: –Classifying.](https://reader036.fdocuments.in/reader036/viewer/2022071705/56649ccd5503460f9499861f/html5/thumbnails/8.jpg)
Examples of evaluating mathematical statements
• Sally’s Sweet Shop activity
• Properties of shapes: Stringy Quads
• Properties of 2D shapes (Maths out Loud 6 – 27)
![Page 9: Looking at learning activities. Aims of the session This session is intended to help us to: Explore different types of mathematical activity: –Classifying.](https://reader036.fdocuments.in/reader036/viewer/2022071705/56649ccd5503460f9499861f/html5/thumbnails/9.jpg)
4. Creating and solving problems
• Learners devise their own mathematical problems for other learners to solve.
• Learners are creative and ‘own’ the problems.
• While others attempt to solve them, learners take on the role of teacher and explainer.
• The ‘doing’ and ‘undoing’ processes of mathematics are exemplified.
![Page 10: Looking at learning activities. Aims of the session This session is intended to help us to: Explore different types of mathematical activity: –Classifying.](https://reader036.fdocuments.in/reader036/viewer/2022071705/56649ccd5503460f9499861f/html5/thumbnails/10.jpg)
Examples of creating and solving problems
• Sum and product example (Maths Out Loud Book 4 – 15)
• Big Book of Word Problems (Year 1/2 Sleeping Ugly)
• Think of a number problems
• Function machines: The Number Crunching Machine
![Page 11: Looking at learning activities. Aims of the session This session is intended to help us to: Explore different types of mathematical activity: –Classifying.](https://reader036.fdocuments.in/reader036/viewer/2022071705/56649ccd5503460f9499861f/html5/thumbnails/11.jpg)
5. Analysing reasoning and solutions
• Learners compare different methods for doing a problem.
• They organise solutions and/ or diagnose the causes of errors in solutions.
• They begin to recognise that there are different ways through a problem.
• They develop their own chains of reasoning.
![Page 12: Looking at learning activities. Aims of the session This session is intended to help us to: Explore different types of mathematical activity: –Classifying.](https://reader036.fdocuments.in/reader036/viewer/2022071705/56649ccd5503460f9499861f/html5/thumbnails/12.jpg)
Examples of analysing reasoning
• Using learner’s solutions both correct and incorrect especially from test papers.
• Collecting learner’s descriptions of their methods.
![Page 13: Looking at learning activities. Aims of the session This session is intended to help us to: Explore different types of mathematical activity: –Classifying.](https://reader036.fdocuments.in/reader036/viewer/2022071705/56649ccd5503460f9499861f/html5/thumbnails/13.jpg)
Follow up task
• Pick one kind of activity from the suggestions and adapt it to meet the needs of your class
• Try it with your class and reflect on the quality of their responses to it
• Come to the session prepared to share your observations and some examples of children’s work